Question

The mineral rutile is an oxide of titanium containing $39.95$ % oxygen and is isomorphous with cassiterite $\left(Sn{O}_2\right)$. The atomic weight of titanium is :

• A. 68.1
• B. 58.1
• C. 48.1
• D. 38.1

Answer 1

The correct option is C 48.1

$\left[\begin{array}{cc}Rutile=& Ti{O}_2\\ Cassiterite=& Sn{O}_2\end{array}\right]$ Both are isomorphous
Molecular weight of $Ti{O}_2=x+32$
($x+32$) g of $Ti{O}_2\Rightarrow 32$ g of oxygen
$100$ g $Ti{O}_2\Rightarrow \frac{32}{(32+x)}\times 100$
$\therefore \frac{32\times 100}{(32+x)}=39.95$
$\therefore x=48.10$